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## Sperber, Steven I.

Compute Distance To:
 Author ID: sperber.steven-i Published as: Sperber, S.; Sperber, Steven; Sperber, Steven I.
 Documents Indexed: 63 Publications since 1977, including 2 Books
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#### Co-Authors

 7 single-authored 38 Adolphson, Alan 5 Sibuya, Yasutaka 4 Voight, John Michael 3 Bombieri, Enrico 3 Doran, Charles F. 3 Haessig, C. Douglas 3 Kelly, Tyler L. 3 Salerno, Adriana 3 Whitcher, Ursula A. 2 Dwork, Bernard Morris 1 Denef, Jan 1 Libgober, Anatoly S. 1 Tretkoff, Marvin D.
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#### Serials

 5 American Journal of Mathematics 4 Compositio Mathematica 4 Transactions of the American Mathematical Society 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Number Theory 3 Algebra & Number Theory 2 Israel Journal of Mathematics 2 Illinois Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of Algebra 2 Pacific Journal of Mathematics 2 Finite Fields and their Applications 2 Annals of Mathematics. Second Series 1 Acta Arithmetica 1 Duke Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 LMS Journal of Computation and Mathematics 1 Integers 1 International Journal of Number Theory 1 Contemporary Mathematics 1 Research in the Mathematical Sciences
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#### Fields

 49 Number theory (11-XX) 46 Algebraic geometry (14-XX) 12 Field theory and polynomials (12-XX) 6 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH Open

54 Publications have been cited 332 times in 188 Documents Cited by Year
Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017
1989
$$p$$-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011
1987
Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012
1987
On the p-adic theory of exponential sums. Zbl 0588.14017
Sperber, Steven
1986
On the zeta function of monodromy of a polynomial map. Zbl 0968.14006
Libgober, A.; Sperber, S.
1995
On the degree of the $$L$$-function associated with an exponential sum. Zbl 0665.12022
1988
Twisted exponential sums and Newton polyhedra. Zbl 0853.11067
1993
p-adic hypergeometric functions and their cohomology. Zbl 0408.12025
Sperber, S.
1977
Exponential sums $$\text{mod }p^n$$ and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
2002
Congruence properties of the hyperkloosterman sum. Zbl 0444.12014
Sperber, S.
1980
On twisted exponential sums. Zbl 0716.11039
1991
Arithmetic properties of power series solutions of algebraic differential equations. Zbl 0492.12012
1981
Zeta functions of alternate mirror Calabi-Yau families. Zbl 1403.14055
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2018
p-adic estimates for exponential sums. Zbl 0727.11056
1990
Exponential sums on the complement of a hypersurface. Zbl 0444.12016
1980
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054
2017
Hasse invariants and mod $$p$$ solutions of $$A$$-hypergeometric systems. Zbl 1295.11134
2014
On twisted de Rham cohomology. Zbl 0915.14012
1997
On the estimation of certain exponential sums. Zbl 0826.11040
Bombieri, E.; Sperber, S.
1995
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
1991
Exponential sums on $$(\mathbb{G}_ m)^ n$$. Zbl 0764.11037
1990
Newton polygons for general hyper-Kloosterman sums. Zbl 0582.14005
Sperber, Steven
1984
Twisted Kloosterman sums and $$p$$-adic Bessel functions. Zbl 0552.12010
1984
On unit root formulas for toric exponential sums. Zbl 1251.11081
2012
On the zeta function of a complete intersection. Zbl 0911.11030
1996
Exponential sums and Newton polyhedra. Zbl 0634.12018
1987
On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018
Bombieri, E.; Sperber, S.
1982
$$A$$-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101
2016
$$L$$-functions associated with families of toric exponential sums. Zbl 1296.11162
Haessig, C. Douglas; Sperber, Steven
2014
Computing zeta functions of nondegenerate hypersurfaces with few monomials. Zbl 1343.11097
Sperber, Steven; Voight, John
2013
$$A$$-hypergeometric systems that come from geometry. Zbl 1257.14016
2012
Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082
2009
On the Jacobian ring of a complete intersection. Zbl 1110.14046
2006
Exponential sums on $$\mathbb{A}^n$$. Zbl 1034.11043
2000
Exponential sums on $$\mathbb{A}^n$$. III. Zbl 0987.11076
2000
Twisted Kloosterman sums and $$p$$-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007
1987
On solutions of differential equations which satisfy certain algebraic relations. Zbl 0597.12026
Sperber, Steven
1986
Character sums in finite fields. Zbl 0561.12008
1984
On the L-functions associated with certain exponential sums. Zbl 0444.12015
Sperber, Steven I.
1980
Alternate mirror families and hypergeometric motives. Zbl 1448.14021
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2019
On the zeta function of a projective complete intersection. Zbl 1232.11092
2008
Exponential sums on $$\mathbf{A}^n$$. II. Zbl 1125.11337
2004
Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017
2000
Exponential sums on $$(\mathbb{F}_ q^*)^ n$$. Zbl 0764.11036
1990
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
1982
Hypergeometric decomposition of symmetric $$K3$$ quartic pencils. Zbl 1441.14128
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2020
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
2020
$$p$$-adic variation of unit root $$L$$-functions. Zbl 1431.11132
Haessig, C. Douglas; Sperber, Steven
2017
Symmetric power $$L$$-functions for families of generalized Kloosterman sums. Zbl 1419.11103
Haessig, C. Douglas; Sperber, Steven
2017
On the degree of the zeta function of a complete intersection. Zbl 0946.14010
1999
Monodromy, Gauss sums, and the slopes of Frobenius for generalized hyperkloosterman sums. Zbl 0623.12013
Sperber, Steven
1986
On the p-adic continuation of the logarithmic derivative of certain hypergeometric functions. Zbl 0589.12021
1985
Convergence of power series solutions of p-adic nonlinear differential equation. Zbl 0602.12009
1981
Some new results on power-series solutions of algebraic differential equations. Zbl 0515.34013
1980
Hypergeometric decomposition of symmetric $$K3$$ quartic pencils. Zbl 1441.14128
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2020
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
2020
Alternate mirror families and hypergeometric motives. Zbl 1448.14021
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2019
Zeta functions of alternate mirror Calabi-Yau families. Zbl 1403.14055
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2018
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054
2017
$$p$$-adic variation of unit root $$L$$-functions. Zbl 1431.11132
Haessig, C. Douglas; Sperber, Steven
2017
Symmetric power $$L$$-functions for families of generalized Kloosterman sums. Zbl 1419.11103
Haessig, C. Douglas; Sperber, Steven
2017
$$A$$-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101
2016
Hasse invariants and mod $$p$$ solutions of $$A$$-hypergeometric systems. Zbl 1295.11134
2014
$$L$$-functions associated with families of toric exponential sums. Zbl 1296.11162
Haessig, C. Douglas; Sperber, Steven
2014
Computing zeta functions of nondegenerate hypersurfaces with few monomials. Zbl 1343.11097
Sperber, Steven; Voight, John
2013
On unit root formulas for toric exponential sums. Zbl 1251.11081
2012
$$A$$-hypergeometric systems that come from geometry. Zbl 1257.14016
2012
Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082
2009
On the zeta function of a projective complete intersection. Zbl 1232.11092
2008
On the Jacobian ring of a complete intersection. Zbl 1110.14046
2006
Exponential sums on $$\mathbf{A}^n$$. II. Zbl 1125.11337
2004
Exponential sums $$\text{mod }p^n$$ and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
2002
Exponential sums on $$\mathbb{A}^n$$. Zbl 1034.11043
2000
Exponential sums on $$\mathbb{A}^n$$. III. Zbl 0987.11076
2000
Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017
2000
On the degree of the zeta function of a complete intersection. Zbl 0946.14010
1999
On twisted de Rham cohomology. Zbl 0915.14012
1997
On the zeta function of a complete intersection. Zbl 0911.11030
1996
On the zeta function of monodromy of a polynomial map. Zbl 0968.14006
Libgober, A.; Sperber, S.
1995
On the estimation of certain exponential sums. Zbl 0826.11040
Bombieri, E.; Sperber, S.
1995
Twisted exponential sums and Newton polyhedra. Zbl 0853.11067
1993
On twisted exponential sums. Zbl 0716.11039
1991
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
1991
p-adic estimates for exponential sums. Zbl 0727.11056
1990
Exponential sums on $$(\mathbb{G}_ m)^ n$$. Zbl 0764.11037
1990
Exponential sums on $$(\mathbb{F}_ q^*)^ n$$. Zbl 0764.11036
1990
Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017
1989
On the degree of the $$L$$-function associated with an exponential sum. Zbl 0665.12022
1988
$$p$$-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011
1987
Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012
1987
Exponential sums and Newton polyhedra. Zbl 0634.12018
1987
Twisted Kloosterman sums and $$p$$-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007
1987
On the p-adic theory of exponential sums. Zbl 0588.14017
Sperber, Steven
1986
On solutions of differential equations which satisfy certain algebraic relations. Zbl 0597.12026
Sperber, Steven
1986
Monodromy, Gauss sums, and the slopes of Frobenius for generalized hyperkloosterman sums. Zbl 0623.12013
Sperber, Steven
1986
On the p-adic continuation of the logarithmic derivative of certain hypergeometric functions. Zbl 0589.12021
1985
Newton polygons for general hyper-Kloosterman sums. Zbl 0582.14005
Sperber, Steven
1984
Twisted Kloosterman sums and $$p$$-adic Bessel functions. Zbl 0552.12010
1984
Character sums in finite fields. Zbl 0561.12008
1984
On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018
Bombieri, E.; Sperber, S.
1982
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
1982
Arithmetic properties of power series solutions of algebraic differential equations. Zbl 0492.12012
1981
Convergence of power series solutions of p-adic nonlinear differential equation. Zbl 0602.12009
1981
Congruence properties of the hyperkloosterman sum. Zbl 0444.12014
Sperber, S.
1980
Exponential sums on the complement of a hypersurface. Zbl 0444.12016
1980
On the L-functions associated with certain exponential sums. Zbl 0444.12015
Sperber, Steven I.
1980
Some new results on power-series solutions of algebraic differential equations. Zbl 0515.34013
1980
p-adic hypergeometric functions and their cohomology. Zbl 0408.12025
Sperber, S.
1977
all top 5

#### Cited by 183 Authors

 32 Sperber, Steven I. 24 Adolphson, Alan 9 Castro, Francis Noel 7 Cao, Wei 7 Haessig, C. Douglas 7 Liu, Chunlei 7 Wan, Daqing 5 Niu, ChuanZe 5 Takeuchi, Kiyoshi 4 Cluckers, Raf 4 Hong, Shaofang 4 Medina, Luis A. 4 Whitcher, Ursula A. 3 Basu, Saugata 3 Blache, Régis 3 Denef, Jan 3 Doran, Charles F. 3 Katz, Nicholas Michael 3 Kelly, Tyler L. 3 Lauder, Alan G. B. 3 Libgober, Anatoly S. 3 Liu, WenXin 3 Ouyang, Yi 3 Rubio, Ivelisse M. 3 Salerno, Adriana 3 Veys, Willem 3 Voight, John Michael 3 Zhu, Hui June 2 Baldassarri, Francesco 2 Bandman, Tatiana M. 2 Christol, Gilles 2 Crew, Richard M. 2 Dwork, Bernard Morris 2 Fouvry, Etienne 2 Fu, Lei 2 González, Oscar E. 2 Kunyavskiĭ, Boris Èmmanuilovich 2 Long, Ling 2 Manjra, Said 2 Matsui, Yutaka 2 Nguyen, Kien Huu 2 Reichelt, Thomas 2 Remmal, Salah-eddine 2 Rojas-León, Antonio 2 Smith, Luke B. 2 Wright, James Robert 2 Yang, Jinbang 2 Yu, Jeng-Daw 2 Zúñiga-Galindo, Wilson A. 1 Aggarwal, Keshav 1 Ando, Kana 1 André, Yves 1 Balasubramanian, Ramachandran 1 Bank, Steven B. 1 Barone, Sal 1 Berthelot, Pierre 1 Bleybel, Ali 1 Booher, Jeremy 1 Bories, Bart 1 Brélivet, Thomas 1 Castro-Velez, F. N. 1 Castryck, Wouter 1 Chapman, Robin J. 1 Chen, Chao 1 Chen, Jianming 1 Chiarellotto, Bruno 1 Costa, Edgar 1 Dartyge, Cécile 1 Davis, Damek 1 Di Vizio, Lucia 1 Djanković, Goran 1 Dollarhide, John 1 Duan, Lian 1 Ebeling, Wolfgang 1 Esnault, Hélène 1 Esterov, Alexander I. 1 Feng, Weiduan 1 Férard, Éric 1 Figueroa, Raúl F. 1 Fischler, Stéphane 1 Franc, Cameron 1 Fraser, Robert 1 Fu, Lei 1 Fuselier, Jenny G. 1 Gannon, Terry 1 García López, Ricardo 1 Garion, Shelly 1 Gillot, Valérie 1 Grady, Daniel 1 Greuel, Gert-Martin 1 Grunewald, Fritz J. 1 Gusein-Zade, Sabir M. 1 Gusev, G. G. 1 Harvey, David I. 1 Heath-Brown, Roger 1 Hibi, Takayuki 1 Hickman, Jonathan 1 Hillar, Christopher J. 1 Holowinsky, Roman 1 Hoornaert, Kathleen ...and 83 more Authors
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#### Cited in 74 Serials

 22 Journal of Number Theory 20 Finite Fields and their Applications 9 Proceedings of the American Mathematical Society 7 Duke Mathematical Journal 7 Mathematische Annalen 6 Compositio Mathematica 6 Transactions of the American Mathematical Society 6 International Journal of Number Theory 5 Advances in Mathematics 4 Israel Journal of Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Inventiones Mathematicae 3 Annales de l’Institut Fourier 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 Discrete & Computational Geometry 2 International Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Journal de Théorie des Nombres de Bordeaux 2 Bulletin des Sciences Mathématiques 2 The Ramanujan Journal 2 Science China. Mathematics 2 Research in the Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Annals of Global Analysis and Geometry 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Kyushu Journal of Mathematics 1 Selecta Mathematica. New Series 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Integers 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Algebra & Number Theory 1 Cryptography and Communications 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Forum of Mathematics, Pi 1 Arnold Mathematical Journal
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#### Cited in 26 Fields

 129 Number theory (11-XX) 115 Algebraic geometry (14-XX) 23 Special functions (33-XX) 19 Field theory and polynomials (12-XX) 19 Several complex variables and analytic spaces (32-XX) 12 Commutative algebra (13-XX) 10 Convex and discrete geometry (52-XX) 6 Ordinary differential equations (34-XX) 5 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 2 Category theory; homological algebra (18-XX) 2 $$K$$-theory (19-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX)